what is the least common multiple of 4 and 10
LCM of 4 and 10LCM of 4 and 10 is the smallest of all common multiples of 4 and 10. The first multiples of 4 and 10 are (4, 8, 12, 16, 20, 24,…) And ( 10, 20, 30, 40, 50, 60, 70,…) respectively. There are 3 commonly used methods to find the LCM of 4 and 10 – by enumerating the multiples, by division and by factoring primes. 1. LCM of 4 and 10 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 4 and 10 is 20. Read: what is the most common multiple of 4 and 10 Explanation: Read more: Factor 80 | Q&A The leading LCM of two non-zero integers, x(4) and y(10), is the smallest positive integer m(20) that is divisible by both x(4) and y(10) without any any residual. find the LCM of 4 and 10 explained below.
- According to the prime factorization method
- By multiples of the list
- According to the division method
LCM of 4 and 10 in prime factors
The prime factors of 4 and 10 are (2 × 2) = 22 and (2 × 5) = 21 × 51, respectively. The LCM of 4 and 10 can be obtained by multiplying the raised prime factors to their highest powers, i.e. 22 × 51 = 20. Therefore, the LCM of 4 and 10 in prime factors is 20.
LCM of 4 and 10 in List Multiples
To calculate the LCM of 4 and 10 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 4 (4, 8, 12, 16, 20, 24,…) and 10 (10, 20, 30, 40, 50, 60, 70,…)
- Step 2: Common multiples from multiples of 4 and 10 are 20, 40,. . .
- Step 3: The least common multiple of 4 and 10 is 20.
Read more: What is vip dancing at a strip club∴ Least common multiple of 4 and 10 = 20.
LCM of 4 and 10 by Division Method
To calculate the LCM of 4 and 10 using the division method, we divide the numbers (4, 10) by their prime factors (preferably common). The product of these divisors for the LCM is 4 and 10.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 4 and 10. Write this prime (2) to the left of the given numbers (4 and 10), separated by a ladder arrangement. .
- Step 2: If a given number (4, 10) is a multiple of 2 then divide it by 2 and write the quotient below. Bring down any number that is not divisible by primes.
- Step 3: Continue the steps until there are only 1s left in the last row.
The LCM of 4 and 10 is the product of all the primes to the left, i.e. LCM (4, 10) by division = 2 × 2 × 5 = 20.☛ Also check:Read more: What is 3 4 in decimal | Top Q&A
- LCM of 14 and 21 – 42
- LCM of 2, 4 and 6 – 12
- LCM 16 and 60 – 240
- LCM of 25 and 36 – 900
- LCM of 14 and 56 – 56
- LCM of 64 and 72 – 576
- LCM of 3, 9 and 18 – 18
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